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170,772

170,772 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

170,772 (one hundred seventy thousand seven hundred seventy-two) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2² × 3 × 7 × 19 × 107. Its proper divisors sum to 313,068, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x29B14.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
24
Digit product
0
Digital root
6
Palindrome
No
Bit width
18 bits
Reversed
277,071
Recamán's sequence
a(469,743) = 170,772
Square (n²)
29,163,075,984
Cube (n³)
4,980,236,811,939,648
Divisor count
48
σ(n) — sum of divisors
483,840
φ(n) — Euler's totient
45,792
Sum of prime factors
140

Primality

Prime factorization: 2 2 × 3 × 7 × 19 × 107

Nearest primes: 170,767 (−5) · 170,773 (+1)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 4 · 6 · 7 · 12 · 14 · 19 · 21 · 28 · 38 · 42 · 57 · 76 · 84 · 107 · 114 · 133 · 214 · 228 · 266 · 321 · 399 · 428 · 532 · 642 · 749 · 798 · 1284 · 1498 · 1596 · 2033 · 2247 · 2996 · 4066 · 4494 · 6099 · 8132 · 8988 · 12198 · 14231 · 24396 · 28462 · 42693 · 56924 · 85386 (half) · 170772
Aliquot sum (sum of proper divisors): 313,068
Factor pairs (a × b = 170,772)
1 × 170772
2 × 85386
3 × 56924
4 × 42693
6 × 28462
7 × 24396
12 × 14231
14 × 12198
19 × 8988
21 × 8132
28 × 6099
38 × 4494
42 × 4066
57 × 2996
76 × 2247
84 × 2033
107 × 1596
114 × 1498
133 × 1284
214 × 798
228 × 749
266 × 642
321 × 532
399 × 428
First multiples
170,772 · 341,544 (double) · 512,316 · 683,088 · 853,860 · 1,024,632 · 1,195,404 · 1,366,176 · 1,536,948 · 1,707,720

Sums & aliquot sequence

As consecutive integers: 56,923 + 56,924 + 56,925 24,393 + 24,394 + … + 24,399 21,343 + 21,344 + … + 21,350 8,979 + 8,980 + … + 8,997
Aliquot sequence: 170,772 313,068 522,004 537,964 538,020 1,391,544 3,325,896 6,970,104 13,601,496 24,196,344 36,294,576 57,907,728 104,153,886 121,512,906 164,401,974 240,562,278 347,614,362 — unresolved within range

Continued fraction of √n

√170,772 = [413; (4, 14, 4, 826)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words
one hundred seventy thousand seven hundred seventy-two
Ordinal
170772nd
Binary
101001101100010100
Octal
515424
Hexadecimal
0x29B14
Base64
ApsU
One's complement
4,294,796,523 (32-bit)
Scientific notation
1.70772 × 10⁵
As a duration
170,772 s = 1 day, 23 hours, 26 minutes, 12 seconds
In other bases
ternary (3) 22200020220
quaternary (4) 221230110
quinary (5) 20431042
senary (6) 3354340
septenary (7) 1310610
nonary (9) 280226
undecimal (11) 107338
duodecimal (12) 829b0
tridecimal (13) 5c964
tetradecimal (14) 46340
pentadecimal (15) 358ec

As an angle

170,772° = 474 × 360° + 132°
132° ≈ 2.304 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ροψοβʹ
Chinese
一十七萬零七百七十二
Chinese (financial)
壹拾柒萬零柒佰柒拾貳
In other modern scripts
Eastern Arabic ١٧٠٧٧٢ Devanagari १७०७७२ Bengali ১৭০৭৭২ Tamil ௧௭௦௭௭௨ Thai ๑๗๐๗๗๒ Tibetan ༡༧༠༧༧༢ Khmer ១៧០៧៧២ Lao ໑໗໐໗໗໒ Burmese ၁၇၀၇၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 170772, here are decompositions:

  • 5 + 170767 = 170772
  • 11 + 170761 = 170772
  • 13 + 170759 = 170772
  • 23 + 170749 = 170772
  • 31 + 170741 = 170772
  • 61 + 170711 = 170772
  • 71 + 170701 = 170772
  • 83 + 170689 = 170772

Showing the first eight; more decompositions exist.

Unicode codepoint
𩬔
CJK Unified Ideograph-29B14
U+29B14
Other letter (Lo)

UTF-8 encoding: F0 A9 AC 94 (4 bytes).

Hex color
#029B14
RGB(2, 155, 20)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.155.20.

Address
0.2.155.20
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.155.20

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 170,772 and was likely granted around 1874.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.